EBK BUSINESS STATISTICS
8th Edition
ISBN: 9780135179833
Author: STEPHAN
Publisher: VST
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Use the shoe print lengths and heights shown below to find the regression equation, letting shoe print lengths be the predictor (x) variable. Then find the best predicted height of a male who has a shoe print length of
28.5
cm. Would the result be helpful to police crime scene investigators in trying to describe the male? Use a significance level of
α=0.05.
Shoe Print (cm)
29.1
29.1
31.8
31.9
27.5
Foot Length (cm)
25.7
25.4
27.9
26.7
25.1
Height (cm)
175.4
177.8
185.2
175.4
173.2
The best predicted height is
enter your response here
cm.
(Round to two decimal places as needed.)
Would the result be helpful?
A.
No, because the description would be the same regardless of shoe print length.
B.
Yes, because the description would be based on an actual shoe print length.
C.
Yes, because the correlation is strong, so the predicted…
Based on the sample data and the regression line, complete the following.
The managers of an electric utility wish to examine the relationship between temperature and electricity use in the utility's service region during the summer months. In particular, the managers wish to be able to predict total electricity use for a day from the maximum temperature that day. The bivariate data below give the maximum temperature (in degrees Fahrenheit) and the electricity use (in thousands of kilowatt hours) of electricity generated and sold for a random sample of summer days. A best-fitting line for the data, obtained from least-squares regression, is given by =y+83.852.67x, in which x denotes the maximum temperature and y denotes the electricity use. This line is shown in the scatter plot below.
(a)For these data, values for electricity use that are greater than the mean of the values for electricity use tend to be paired with temperature values that are ▼(Choose one) the mean of…
The regression equation is computed for a set of n = 18 pairs of X and Y values with a correlation of r = 0.50 and SSy = 48.
Find the standard error of estimate for the regression equation.
The standard error of estimate =
How big would the standard error be if the sample size were n = 66?
The standard error of estimate =
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- The service regresses the number of complaints lodged against an employee last year on the hourly wage of the employee for the year. The analyst ran a simple linear regression shown below. Table 7: Model Summary Model R R Square Adjusted R Square Std. Error of the Estimate 1 .854a .730 .695 6.6235 a. Predictors: (Constant), Hourly Wage Table 8: ANOVA ANOVAb Model Sum of Squares df Mean Square F Sig. 1 Regression 1918.458 1 1918.458 129.783 .000a Residual 709.567 48 14.782 Total 2628.025 49 a. Predictors: (Constant), Hourly Wage b. Dependent Variable: Number of Complaints Table 9: Coefficients Coefficientsa Model Unstandardized Coefficients Standardized Coefficients t Sig. B Std. Error Beta 1 (Constant) 20.2 4.357 4.636 .000 Hourly Wage -1.20 .088 -.946 -13.636 .000 a. Dependent Variable: Number of…arrow_forwardThe local utility company surveys 12 randomly selected customers. For each survey participant, the company collects the following: annual electric bill (in dollars) and home size (in square feet). Output from a regression analysis appears below: Bill 13.45 + 4.39*Size Coefficients Estimate Std. Error (Intercept) 13.45 Size 4.39 0.54 0.2 We are 90% confident that the mean annual electric bill increases by between dollars and dollars for every additional square foot in home size. Round your answers to three decimal places and enter in increasing order.arrow_forwardUse the given data to find the best predicted value of the response variable. Use a significance level of 0.05The regression equation relating attitude rating (x) and job performance rating (y) for the employees of a company is y= 11.5 + 1.04x. Ten pairs of data were used to obtain the equation. The same data yield r=0.863 and y¯=80.1 What is the best predicted job performance rating for a person whose attitude rating is 85? Round answer to one decimal place.arrow_forward
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